基于平方根改进的Gerschgorin半径方法对小间隔距离信号源数估计

Estimation of Source Number of Closely Spaced Signal Based on Square-Root Modified Gerschgorin Radii

信号源数的正确估计,是空间阵列信号处理的前提条件。通常的阵列信号源数估计方法,都是在信号来波方向角度差较大情况下进行的估计。当信号来波方向的角度差比较小时,这些方法估计都要失效。本文从分析Gerschgorin半径估计信号源数的原理出发,提出了平方根修正的Gerschgorin半径估计方法,对信号来波方向角度差小时,针对不同的环境,进行了仿真实验。实验证实了该方法在信号来波方向角度小时,估计性能优越。

The source numbers must be estimated before the array signals are processed. The general decision criteria of the source numbers are usually used for large angle separation of Direction of Arrival （DOA） ; it can not be used when the angular separation of DOA is small. The estimation principle of the source numbers based on Gerschgorin radii is analyzed, and a new method is proposed in the paper, which is the source number detection method based on the square-root modified Gerschgorin radii. Simulation experiments were carried out under different environments. The results prove that the estimation performance is superior when the angular separation of DOA is small